If the 'white rouge' is aluminum oxide as many are, it'll work fine (or even great) for steel. Some hardware store varieties will actually be labelled for 'cleaning' or polishing hard metals, including stainless steels. Also, it may or may not be finer than green or other fine compounds; there's a lot of variation in grit sizes and even abrasive types in 'white' compounds. The type usually reserved for soft metals is made of tin oxide (sometimes ambiguously called 'white diamond' compound), which is MUCH softer than aluminum oxide.
My favorite stropping compound is a white rouge in aluminum oxide, at ~2-5µ particle size (larger and much more aggressive than green compounds). Works great for stripping away tenacious burrs (I use it on denim or linen, over a hard backing), and will also polish very quickly on most common cutlery steels, up to and including D2.
Best way to know if it'll work well following the UF Spyderco hones, is to try it. I'd STRONGLY recommend using as firm a stropping substrate as possible, because AlOx white rouge works quite aggressively, and can quickly overpolish or round off an edge, if used on too soft a backing, or with poor technique. A stropping substrate that's very firm, like fabric (denim, linen) over hard wood will leave edges much crisper and even sharper, if used smartly.
David